Finding the Third Proportional to 52,320 and 78,972

Step by Step Solution

1. Step 1: Write the proportion equation
   52,320 : 78,972 = 78,972 : x
2. Step 2: Convert to fraction form
   52,320/78,972 = 78,972/x
3. Step 3: Cross multiply
   52,320x = 78,972 × 78,972
4. Step 4: Simplify right side
   52,320x = 6,236,576,784
5. Step 5: Solve for x
   x = 6,236,576,784/52,320
6. Step 6: Final answer
   x = 119,200.63